ln*(y-1)-ln*2=x+ln*x

Solution for ln*(y-1)-ln*2=x+ln*x equation:

Simplifying
ln(y + -1) + -1ln * 2 = x + ln * x

Reorder the terms:
ln(-1 + y) + -1ln * 2 = x + ln * x
(-1 * ln + y * ln) + -1ln * 2 = x + ln * x
(-1ln + lny) + -1ln * 2 = x + ln * x

Reorder the terms for easier multiplication:
-1ln + lny + -1 * 2ln = x + ln * x

Multiply -1 * 2
-1ln + lny + -2ln = x + ln * x

Reorder the terms:
-1ln + -2ln + lny = x + ln * x

Combine like terms: -1ln + -2ln = -3ln
-3ln + lny = x + ln * x

Multiply ln * x
-3ln + lny = x + lnx

Reorder the terms:
-3ln + lny = lnx + x

Solving
-3ln + lny = lnx + x

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '-1lnx' to each side of the equation.
-3ln + -1lnx + lny = lnx + -1lnx + x

Combine like terms: lnx + -1lnx = 0
-3ln + -1lnx + lny = 0 + x
-3ln + -1lnx + lny = x

Combine like terms: x + -1x = 0
-3ln + -1lnx + lny + -1x = 0

The solution to this equation could not be determined.